Convergence from below suffices
Functional Analysis
2014-12-25 v1
Abstract
An elementary application of Fatou's lemma gives a strengthened version of the monotone convergence theorem. We call this the convergence from below theorem. We make the case that this result should be better known, and deserves a place in any introductory course on measure and integration.
Cite
@article{arxiv.1412.7702,
title = {Convergence from below suffices},
author = {J. F. Feinstein},
journal= {arXiv preprint arXiv:1412.7702},
year = {2014}
}
Comments
5 pages, no figures